VIII. Suppose v¡(t) = 20sin(50t + 45°)V, and vz(t) = 20cos(50t + %3D 45°)V. a. write the phasors of v1(t) and v2(t); b. find the root-mean-square (rms) value of the voltages for v1(t) and v2(t); c. use phasors to reduce the sum v.(t)= v1(t) + v2(t) to a single term of the form Vmcos(wt + 0); d. state the phase relationships between v.(t) and vz(t).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...
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VIII. Suppose vị(t)
20sin(50t + 45°)V, and v2(t) = 20cos(50t +
%3!
45°)V.
a. write the phasors of vi(t) and v2(t);
b. find the root-mean-square (rms) value of the voltages for vi(t) and v2(t);
c. use phasors to reduce the sum v.(t)= v1(t) + v2(t) to a single term of the
form Vmcos(wt + 0);
d. state the phase relationships between v.(t) and v2(t).
Transcribed Image Text:VIII. Suppose vị(t) 20sin(50t + 45°)V, and v2(t) = 20cos(50t + %3! 45°)V. a. write the phasors of vi(t) and v2(t); b. find the root-mean-square (rms) value of the voltages for vi(t) and v2(t); c. use phasors to reduce the sum v.(t)= v1(t) + v2(t) to a single term of the form Vmcos(wt + 0); d. state the phase relationships between v.(t) and v2(t).
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